6TH GR. ALGEBRA
posted by Amelia .
EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.

Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.
2  3 = 1
2 * 3 = 6
2 / 3 = 2/3
Are any of the results irrational? And are there any other rational numbers that yield different results?
(I assume a formal proof is not requested). 
Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.
2  3 = 1
2 * 3 = 6
2 / 3 = 2/3
Are any of the results irrational? And are there any other rational numbers that yield different results?
yes this one 2 * 3 = 6
Respond to this Question
Similar Questions

Algebra
23. The ___ axis represents the independent variable. X? 
9th grade
Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers 
Math
Identify all sets to which the number 3 belongs A. Whole numbers, integers, rational numbers B. Rational numbers C. Integers, rational numbers D. Even numbers, whole numbers, integers, rational numbers I THINK IT'S A 
Algebra 1
Which statement about real numbers is true? 
math
Which statement is true? A. All irrational numbers are also rational numbers. B. Half of the irrational numbers are also rational numbers. C. Onethird of the irrational numbers are also rational numbers D. Irrational numbers cannot 
Math
Which set of numbers best describes the displayed weights on a digital scale that shows each weight to the nearest half of pound. A) Whole B) Rational C) Real D) Integers My answer is Rational because rational numbers can be written … 
Math Check Pleas Thank You
1. Which of the following numbers is an example of an integer? 
Prealgebra
Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as … 
9th grade alebra
Name the set of numbers to which 10 belongs A whole numbers , integers , rational numbers B rational numbers C integers or rational D whole numbers , natural numbers , integers 
Algebra
Which of the following statements is false?